Studies of Nonlinear Physics

Dear Colleagues,

At variance with textbook examples, nonlinear effects play a crucial role in every physical system: interactions between different parts and states of a system depend inherently by how much these parts or states are populated. Let us consider wave propagation phenomena modelled by a nonlinear partial differential equation (PDE). Examples include propagation of intense laser pulses, evolution of a Bose-Einstein condensate, surface and internal waves in hydrodynamics, Langmuir waves in plasmas. Since the 1970s, several PDEs were discovered to exhibit the important mathematical property of integrability (i.e., they generalise the concept of Liouville integrability to infinite-dimensional systems and are solvable by means of the inverse scattering transform). They possess some special families of exact solutions, such as solitons, breathers, kinks, etc. Moreover, these models (Korteweg–de Vries, Nonlinear Schrödinger, Kadomtsev–Petviashvili equations, etc.) proved to be universal: many physical phenomenona can be approximately described by them in some specific range of parameters. Conservative and non-conservative (forced-damped) extensions of each of them provide a powerful toolbox for physicists.

In this Special Issue, we invite submissions exploring the above-mentioned nearly integrable extensions of integrable models. Contributions can focus on (just to mention a few) frequency combs in optics, nonlinear optics in micro- and nanostructures, wind-forced oceanic waves in the gravity and capillary regimes, population dynamics in biology and human society, finance, etc. Survey papers and reviews are also welcomed.

Dr. Andrea Armaroli
Guest Editor

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• Nonlinear waves
• Nonlinear optics
• Nonlinear water waves
• Plasmas
• Bose-Einstein condensates
• population dynamics
• nearly-integrable PDEs
• forced-damped PDEs